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Finding the Third Proportional to 664,486 and 996,521

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Solution

The third proportional to 664,486 and 996,521 is: 1,494,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,486 : 996,521 = 996,521 : x
  2. Step 2: Convert to fraction form
    664,486/996,521 = 996,521/x
  3. Step 3: Cross multiply
    664,486x = 996,521 × 996,521
  4. Step 4: Simplify right side
    664,486x = 993,054,103,441
  5. Step 5: Solve for x
    x = 993,054,103,441/664,486
  6. Step 6: Final answer
    x = 1,494,469.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.